All categories

3 years ago

PLEASE SOMEONE PLEASEEE HELP ASAP

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:

52/63

Step-by-step explanation:

Given the expression;

4/7 * 13/9

WE are to take the product

= (4/9)* (13/7)

= (4*13)/(7*9)

= 52/63

Hence the required fraction is 52/63

You might be interested in

Rename 3/4 and 2/5 using 20 as the comm;on denominator

mash [69]

Answer:

3/4→15/20 and 2/5→8/20

Step-by-step explanation:

4*5=20, do what you do to denominator to numerator, so 3*5=15. 15/20. Same for 2/5.

5 0

4 years ago

Find the volume of each sphere. Be sure to include appropriate units.<br> (Show your work)

babunello [35]

Answer:

2145.5m^3

679.2yard

Step-by-step explanation:

$volume \: of \: a \: sphere = \frac{4}{3}\pi \: r {}^{3} \\ when \: r = 8 \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 {}^{3} \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 \times 8 \times 8 \\ volume = \frac{4 \times 22 \times 512}{3 \times 7} \\ volume = \frac{45056}{21} \\ volume = 2145.5m {}^{3} \\ \\ for \: the \: second \: shape \\ volume = \frac{4}{3} \times \frac{22}{7} \times 5.5 {}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 166.373 \\ = \frac{14641}{21} \\ = 697.2yard$

6 0

3 years ago

Answer the question in the picture

nekit [7.7K]

Recall the angle sum identities:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

$\cos(x+y)=\cos x\cos y-\sin x\sin y$

Now,

$\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}$

Divide through numerator and denominator by $\cos x\cos y$ to get

$\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}$

Next, we use the fact that $x,y$ lie in the first quadrant to determine that

$\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2$

$\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}$

So we then have

$\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

$\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1$

Finally,

$\tan(x+y)=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3\approx3.73$

4 0

3 years ago

How does the graph show that the rate of change is constant?

muminat

A graph has a constant rate of change when the graph is linear and portrays a straight line. The slope will remain constant which forms the straight line in the graph.

4 0

3 years ago

Read 2 more answers

Which table represents a linear function

lubasha [3.4K]

Answer:

the first one

Step By Step Explanation:

table one increases by 5 every time while table 2 is randomized numbers

6 0

4 years ago

Read 2 more answers